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Simplifying 5y + -8 = 7y + 40 Reorder the terms: -8 + 5y = 7y + 40 Reorder the terms: -8 + 5y = 40 + 7y Solving -8 + 5y = 40 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -8 + 5y + -7y = 40 + 7y + -7y Combine like terms: 5y + -7y = -2y -8 + -2y = 40 + 7y + -7y Combine like terms: 7y + -7y = 0 -8 + -2y = 40 + 0 -8 + -2y = 40 Add '8' to each side of the equation. -8 + 8 + -2y = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -2y = 40 + 8 -2y = 40 + 8 Combine like terms: 40 + 8 = 48 -2y = 48 Divide each side by '-2'. y = -24 Simplifying y = -24
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